1890000455616 has 336 divisors, whose sum is σ = 6897421003200. Its totient is φ = 481272938496.

The previous prime is 1890000455611. The next prime is 1890000455621. The reversal of 1890000455616 is 6165540000981.

1890000455616 is a `hidden beast` number, since 1 + 8 + 90 + 0 + 0 + 0 + 4 + 556 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1890000455611) and next prime (1890000455621).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890000455611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 898380 + ... + 2141748.

It is an arithmetic number, because the mean of its divisors is an integer number (20528038700).

Almost surely, 2^{1890000455616} is an apocalyptic number.

1890000455616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1890000455616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448710501600).

1890000455616 is an abundant number, since it is smaller than the sum of its proper divisors (5007420547584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1890000455616 is a wasteful number, since it uses less digits than its factorization.

1890000455616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243436 (or 1243423 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1890000455616 in words is "one trillion, eight hundred ninety billion, four hundred fifty-five thousand, six hundred sixteen".